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A momentum space formulation for some relativistic statistical field theories with quantum-like observables

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Brenden McDearmon

Quantum Physics · Submitted 30 May 2024

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim These field operators have some interesting quantum-like properties.

how it is stated · asserted 0.92 read the record →

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arXiv ID2406.04365 (version 1)
Pith IDTU3BRPZN, Pith's permanent record of this paper and its review
CitationBrenden McDearmon. "A momentum space formulation for some relativistic statistical field theories with quantum-like observables." arXiv:2406.04365 (2024). https://pith.science/paper/TU3BRPZN
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,842 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.25 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Considering a fluctuating scalar field on momentum space, some relativistic statistical field theories are constructed. A Hilbert space of observables is then constructed from functionals of the fluctuating scalar field with an inner product defined in terms of expectation values of the functionals. A bosonic Fock space is then constructed from the Hilbert space and creation and annihilation operators that act on the Fock space are defined. The creation and annihilation operators are used to define field operators. These field operators have some interesting quantum-like properties. For example, the field operators do not commute in general and, in the particular case of the free field theory, can be shown to satisfy the microcausality condition.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Considering a fluctuating scalar field on momentum space, some relativistic statistical field theories are constructed. contribution 0.93 0.83 0.09 asserted 1.00
s1 A Hilbert space of observables is then constructed from functionals of the fluctuating scalar field with an inner product defined in terms of expectation values of the functionals. method 0.78 0.87 0.07 asserted 1.00
s2 A bosonic Fock space is then constructed from the Hilbert space and creation and annihilation operators that act on the Fock space are defined. method 0.78 0.87 0.07 asserted 1.00
s3 The creation and annihilation operators are used to define field operators. method 0.86 0.84 0.07 asserted 1.00
s4 These field operators have some interesting quantum-like properties. result 0.65 0.75 0.27 asserted 0.92
s5 For example, the field operators do not commute in general and, in the particular case of the free field theory, can be shown to satisfy the microcausality condition. result 0.95 0.82 0.28 asserted 0.97

What kind of paper the classifier reports this is: theoretical result 0.88 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Considering a fluctuating scalar field on momentum space, some relativistic statistical field theories are constructed. A Hilbert space of observables is then constructed from functionals of the fluctuating scalar field with an inner product defined in terms of expectation values of the functionals. A bosonic Fock space is then constructed from the Hilbert space and creation and annihilation operators that act on the Fock space are defined. The creation and annihilation operators are used to define field operators. These field operators have some interesting quantum-like properties. For example, the field operators do not commute in general and, in the particular case of the free field theory, can be shown to satisfy the microcausality condition.

Human review

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How the literature uses it

What this paper does with the arXiv papers it cites

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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